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We simulate K pi scattering in s-wave and p-wave for both isospins I=1/2, 3/2 using quark-antiquark and meson-meson interpolating fields. We extract the elastic phase shifts delta at several values of the K-pi relative momenta. The…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , Luka Leskovec , Daniel Mohler , Sasa Prelovsek

We discuss the result of a recent quenched lattice calculation of the K -> pi vector form factor at zero-momentum transfer, relevant for the determination of |V_us| from K-> pi l nu decays. Using suitable double ratios of three-point…

High Energy Physics - Lattice · Physics 2009-11-10 D. Becirevic , D. Guadagnoli , G. Isidori , V. Lubicz , G. Martinelli , F. Mescia , M. Papinutto , S. Simula , C. Tarantino , G. Villadoro

We present the status of on-going calculations of the $K\to\pi l\nu$ and $D\to K(\pi) l\nu$ semileptonic form factors at $q^2=0$. These form factors are important for the determination of the CKM matrix elements $\lvert{V_{us}}\rvert$ and…

High Energy Physics - Lattice · Physics 2014-11-07 Thomas Primer , Doug Toussaint , Aida El-Khadra , Elvira Gámiz , James Simone

We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the B_K parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is B_K(2…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , V. Gimenez , C. -J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

We present a lattice determination of the vector and scalar form factors of the $D \to \pi(K) \ell \nu$ semileptonic decays, which are relevant for the extraction of the CKM matrix elements $|V_{cd}|$ and $|V_{cs}|$ from experimental data.…

High Energy Physics - Lattice · Physics 2019-10-24 V. Lubicz , L. Riggio , G. Salerno , S. Simula , C. Tarantino

A number of old and new methods for computing $K\to\pi\pi$ amplitudes on the lattice are reevaluated. They all involve a non-perturbative determination of matching coefficients. I will show how problems related to operator mixing can be…

High Energy Physics - Lattice · Physics 2011-04-15 Giancarlo Rossi

We present a calculation of the $K\to\pi\pi$ decay amplitudes from the $K\to\pi$ matrix elements using leading order relations derived in chiral perturbation theory. Numerical simulations are carried out in quenched QCD with the domain-wall…

I review lattice calculations of quantities that involve light quarks, including light quark masses, the vector form factor f_+(0) needed for semileptonic kaon decays, and kaon mixing. Results for most of these quantities are now available…

High Energy Physics - Lattice · Physics 2011-06-03 Jack Laiho

We present a lattice determination of the vector and scalar form factors of the $D\to\pi(K)\ell\nu$ semileptonic decays, which are relevant for the extraction of the CKM matrix elements $|V_{cd}|$ and $|V_{cs}|$ from experimental data. Our…

High Energy Physics - Lattice · Physics 2018-04-18 Vittorio Lubicz , Lorenzo Riggio , Giorgio Salerno , Silvano Simula , Cecilia Tarantino

We show that it is now possible to fully determine the CKM matrix, for the first time, using lattice QCD. |V_{cd}|, |V_{cs}|, |V_{ub}|, |V_{cb}| and |V_{us}| are, respectively, directly determined with our lattice results for form factors…

High Energy Physics - Lattice · Physics 2007-05-23 Masataka Okamoto

K* mesons and in particular the K*(892) were frequently addressed in lattice simulations, but always while ignoring that the K*(892) decays strongly. We present an exploratory extraction of the masses and widths for the K* resonances by…

High Energy Physics - Lattice · Physics 2014-08-13 Sasa Prelovsek , Luka Leskovec , C. B. Lang , Daniel Mohler

We have computed the form factors for B --> pi and D --> K(pi) semileptonic decays on the lattice by using full non-perturbative O(a) improvement, in the quenched approximation. Our results are expressed in terms of few parameters which…

High Energy Physics - Lattice · Physics 2019-08-17 A. Abada , D. Becirevic , Ph. Boucaud , J. P. Leroy , V. Lubicz , F. Mescia

We present a lattice-QCD calculation of the $B\to\pi\ell\nu$ semileptonic form factors and a new determination of the CKM matrix element $|V_{ub}|$. We use the MILC asqtad 2+1-flavor lattice configurations at four lattice spacings and…

I review recent lattice computations of the matrix element relevant for K0-K0bar mixing and discuss the advantages of fermions with an exact chiral symmetry to compute K->pipi amplitudes.

High Energy Physics - Phenomenology · Physics 2011-09-13 Leonardo Giusti

A calculation of the ratio of leptonic decay constants f_{K^+}/f_{\pi^+} makes possible a precise determination of the ratio of CKM matrix elements |V_{us}|/|V_{ud}| in the Standard Model, and places a stringent constraint on the scale of…

The s-wave pion-kaon ($\pi K$) scattering lengths at zero momentum are calculated in lattice QCD with sufficiently light $u/d$ quarks and strange quark at its physical value by the finite size formula. The light quark masses correspond to…

High Energy Physics - Lattice · Physics 2012-04-04 Ziwen Fu

We present a very high statistics study of D and D_s semileptonic decay form factors on the lattice. We work with MILC N_f=2+1 lattices and use the Highly Improved Staggered Quark action (HISQ) for both the charm and the strange and light…

High Energy Physics - Lattice · Physics 2012-08-31 J. Koponen , C. T. H. Davies , G. Donald

We compute the $B\to\pi\ell\nu$ semileptonic form factors and update the determination of the CKM matrix element $|V_{ub}|$. We use the MILC asqtad ensembles with $N_f=2+1$ sea quarks at four different lattice spacings in the range $a…

We present results for the form factor $f_+^{K \pi}(0)$, needed to extract the CKM matrix element $|V_{us}|$ from experimental data on semileptonic $K$ decays, on the HISQ $N_f=2+1+1$ MILC configurations. The HISQ action is also used for…

Neutrinoless double-beta ($0\nu\beta\beta$) decays provide an excellent probe for determining whether neutrinos are Dirac or Majorana fermions. The short-range matrix elements associated with the $\pi^- \to \pi^+ ee$ process contribute at…